G.mathexit-4Q1213.docx - MATH23X EXIT EXAMINATION 4th...

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1 . Solve for the value of x . 2 x y + z = 6 x 3 y 2 z = 13 2 x 3 y 3 z = 16 a) 4 b) 3 c) 2 d) 1 2 . Find the term involving y 5 in the expansion of ( 2 x 2 + y ) 10 a) 8064 x 10 y 5 b) 8046 x 5 y 5 c) 8046 x 10 y 5 d) 4680 x 5 y 5 3 . An airplane flying with the wind took 2 hours to travel 1000 km, and 2.5 hours in flying back. What was the wind velocity in kph? a) 40 b) 50 c) 60 d) 70 4 . Solve for θ in the equation sin 2 θ = cos θ . a) 15 0 b) 30 0 c) 45 0 d) 60 0 MATH23X EXIT EXAMINATION 4 th Quarter SY 2012–2013
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5 . A man finds the angle of elevation of the top of a tower to be 30 0 . He walks 85 meters nearer the tower and find its angle of elevation to be 60 0 . What is the height of the tower? a) 76.31 m b) 73.31 m c) 73.16 m d) 73.61 m 6 . Given: log 4 7 = n . Find log 4 1 7 a) 1 n b) n c) 1 n d) –n 7. A circular cylinder is circumscribed about a right prism having a square base and edge of one meter. The volume of the cylinder is 6.283 m 3 . Find its altitude. a) 4.00 m b) 3.75 m c) 3.50 m d) 3.25 m 8. Given a sphere of diameter, d. What is the percentage increase in its volume when the surface area increases by 21%?
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